It was argued in [1]} that the supermultiplets \(\mathfrak {W}_{\alpha (n)}(H)\)  exist for \(n\ge 1\)  in any conformally flat superspace \({\cal M}^{3|2}\) . In terms of conformally covariant derivatives \(\nabla _A = (\nabla _a, \nabla _\alpha )\)  [2]}, the super-Cotton tensors were constructed in [3]}. Below we will derive closed-form expressions for \(\mathfrak {W}_{\alpha (n)}(H)\)  in terms of the Lorentz covariant derivatives
\({\cal D}_A\)  for the case \({\cal M}^{3|2}={\rm AdS}^{3|2}\) , i.e. the \({\cal N}=1\)  AdS superspace.
